1 1 vote Suppose that $X_{1}$ and $X_{2}$ denote the output of rolls of two independent dices that can each take integer values $\{1,2,3,4,5,6\}$ with probability $1 / 6$ for each outcome. Further, $U$ denotes a continuous random variable that is independent of $X_{1}$ and $X_{2}$ and is uniformly distributed in the interval $[0,1]$. Suppose that the sum of the three random variables, that is, $X_{1}+X_{2}+U,$ equals $6.63.$ Conditioned on this sum what is the probability that $X_{1}$ equals $2?$ $2.21$ $3$ $1 / 6$ $1 / 5$ $1 / 3$ Probability and Statistics tifrece2021 probability-and-statistics random-variable + – admin 386 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
